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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox ET}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | {{ED intro}} The step size of this system is close to [[144/143]], the grossma. |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2013-10-20 01:00:21 UTC</tt>.<br>
| |
| : The original revision id was <tt>461386722</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| |
| <h4>Original Wikitext content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">The //99 equal temperament//, often abbreviated 99-tET, 99-EDO, or 99-ET, is the scale derived by dividing the octave into 99 equally-sized steps, where each step represents a frequency ratio of 12.1212 cents. It is a very strong 7-limit (and 9 odd limit) temperament, but extending it to the 11-limit requires choosing which mapping one wants to use, as both are nearly equally far of the mark. It tempers out 3136/3125, 5120/5103, 6144/6125, 2401/2400 and 4375/4374, and supports hemififths, amity, parakleismic, hemiwürschmidt and ennealimmal temperaments, and is pretty well a perfect tuning for hendecatonic temperament. It has a sound defined by the slight sharpness (1.075, 1.565, 0.871 cents) of its 3, 5, and 7.
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| Using the [[patent val]], <99 157 230 278 342|, 99 is the [[optimal patent val]] for the rank four temperament tempering out 121/120; zeus, the rank three temperament tempering out 121/120 and 176/175; hemiwur, one of the rank two 11-limit extensions of hemiwürschmidt; and hitchcock (11-limit amity), the rank two temperament which also tempers out 2200/2187. Using the <99 157 230 278 343| ("99e") val, 99 tempers out 896/891, 243/242, 441/440 and 540/539, and is an excellent tuning for the 11-limit version of [[Breedsmic temperaments|hemififths temperament]]. Hence 99, in spite of the fact that it tunes 11 relatively badly, is an important 11-limit tuning in more than one way.
| | == Theory == |
| | 99edo is a very strong [[7-limit]] (and [[9-odd-limit]]) tuning, with a sound defined by the slight sharpness (1.1, 1.6, 0.9 cents) of its [[3/1|3]], [[5/1|5]], and [[7/1|7]]. As an equal temperament, it [[tempering out|tempers out]] 393216/390625 ([[würschmidt comma]]) and 1600000/1594323 ([[amity comma]]) in the [[5-limit]]; 5120/5103 ([[5120/5103|argent comma]]), 2401/2400 ([[2401/2400|breedsma]]), 3136/3125 ([[hemimean comma]]), and 4375/4374 ([[4375/4374|ragisma]]) in the [[7-limit]], [[support]]ing [[hemififths]], [[amity]], [[parakleismic]], [[hemiwürschmidt]] and [[ennealimmal]] temperaments, and is pretty well a perfect tuning for [[hendecatonic (temperament)|hendecatonic]] temperament. |
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| =Scales=
| | Extending it to the [[11-limit]] requires choosing which mapping one wants to use, as both are nearly equally far off the mark. Using the {{val| 99 157 230 278 '''343''' }} (99e) val, it tempers out [[243/242]], [[441/440]], [[540/539]] and [[896/891]], and is an excellent tuning for the 11-limit version of hemififths temperament. Using the [[patent val]], 99edo is the [[optimal patent val]] for the rank-4 temperament tempering out [[121/120]]; zeus, the rank-3 temperament tempering out 121/120 and [[176/175]]; [[hemiwür]], one of the rank-2 11-limit extensions of hemiwürschmidt; and [[hitchcock]] (an 11-limit amity extension), the rank-2 temperament which also tempers out [[2200/2187]]. The same can be said of the mapping for [[13/1|13]], with the 99ef val tempering out [[144/143]], [[196/195]], 352/351 and [[364/363]], and its patent val tempering out [[169/168]], [[351/350]] and [[352/351]]. Hence 99edo, in spite of the fact that it tunes 11 and 13 relatively badly, is an important 13-limit tuning in more than one way. |
| [[tutone6]] | |
| [[tutone7]] | |
| [[tutone13]] | |
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| =Music in 99edo=
| | Being a [[zeta peak edo]], 99edo is also a very strong no-11 no-13 system, where it is consistent to the [[29-odd-limit]] with a sharp tendency. This favors the sharp mapping of 11 and 13, and allows these relatively weak approximations to somewhat blend with the rest for a full [[29-limit]] (or [[31-limit]], using the sharp-tending 99efk val) temperament. In fact, the 99efk val is the first to achieve [[diamond monotone]] in the [[31-odd-limit]], though it fails in the [[33-odd-limit]] due to mapping [[33/32]] to 5 steps, while [[32/31]] is mapped to 4 steps. |
| [[http://www.archive.org/details/NonagintaEtNovem|Nonaginta et Novem]] //[[http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/Nonaginta%20et%20Novem.mp3|play]]// by [[Gene Ward Smith]] | |
| [[http://micro.soonlabel.com/gene_ward_smith/transformers/benny.mp3|Benny]] Smith-Palestrina in [[zeus7tri]] | |
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| =Intervals=
| | One step of 99edo is close to [[144/143]], the grossma. Unfortunately, neither 99ef nor the patent val map it consistently, though [[198edo]] does. |
| ||~ Degrees ||~ Cents Value ||
| | |
| || 1 || 12.121 ||
| | === Prime harmonics === |
| || 2 || 24.242 ||
| | {{Harmonics in equal|99}} |
| || 3 || 36.364 ||
| | |
| || 4 || 48.485 ||
| | === Subsets and supersets === |
| || 5 || 60.606 || | | Since 99 factors into primes as {{nowrap| 3<sup>2</sup> × 11 }}, 99edo has subset edos {{EDOs| 3, 9, 11, and 33 }}. Splitting 99edo's step in half yields [[198edo]], correcting prime 11, slightly improving prime 13, and aligning both 11 and 13 with the sharp tunings of the lower odd primes. Because of this, 198edo can be seen as a complex yet notable true full 13-limit tuning. |
| || 6 || 72.727 ||
| | |
| || 7 || 84.848 ||
| | == Intervals == |
| || 8 || 96.97 ||
| | {{Main| Table of 99edo intervals }} |
| || 9 || 109.091 ||
| | |
| || 10 || 121.212 ||
| | == Notation == |
| || 11 || 133.333 ||
| | [[Stein–Zimmermann–Gould notation]] uses sharps and flats combined with quartertone accidentals and arrows: |
| || 12 || 145.455 ||
| | {{Sharpness-sharp10-qt1-szg}} |
| || 13 || 157.576 ||
| | |
| || 14 || 169.697 ||
| | === Kite's ups and downs notation === |
| || 15 || 181.818 ||
| | 99edo can also be notated with [[Kite's ups and downs notation|Kite's ups and downs]]. Note that quip (quintuple-up) is the same as quudsharp (quadruple-down sharp) and that quid (quintuple-down) is the same as quupflat (quadruple-up flat): |
| || 16 || 193.939 ||
| | {{Ups and downs sharpness|99|true}} |
| || 17 || 206.061 ||
| | |
| || 18 || 218.182 ||
| | == Approximation to JI == |
| || 19 || 230.303 ||
| | === 7-prime-limited odd-limit analysis === |
| || 20 || 242.424 ||
| | Unlike all previous edos, 99edo is ''distinctly'' [[consistent]] and monotone (i.e. when tempered using the patent val, the relative sizes of any two intervals are never conflated ''or'' reversed) up to the 7-prime-limited 45-odd-limit: |
| || 21 || 254.545 ||
| | |
| || 22 || 266.667 ||
| | {{Databox |
| || 23 || 278.788 ||
| | |collapse=true |
| || 24 || 290.909 ||
| | |title=The 7-prime-limited 45-odd-limit, by 99edo mapping (SW3 format) |
| || 25 || 303.03 ||
| | |text= |
| || 26 || 315.152 ||
| | <pre> |
| || 27 || 327.273 ||
| | (* |
| || 28 || 339.394 ||
| | 7-PL 45-OL odds: |
| || 29 || 351.515 ||
| | 1 3 5 7 9 15 21 25 27 35 45 |
| || 30 || 363.636 ||
| |
| || 31 || 375.758 ||
| |
| || 32 || 387.879 ||
| |
| || 33 || 400 ||
| |
| || 34 || 412.121 ||
| |
| || 35 || 424.242 ||
| |
| || 36 || 436.364 ||
| |
| || 37 || 448.485 ||
| |
| || 38 || 460.606 ||
| |
| || 39 || 472.727 ||
| |
| || 40 || 484.848 ||
| |
| || 41 || 496.97 ||
| |
| || 42 || 509.091 ||
| |
| || 43 || 521.212 ||
| |
| || 44 || 533.333 ||
| |
| || 45 || 545.455 ||
| |
| || 46 || 557.576 ||
| |
| || 47 || 569.697 ||
| |
| || 48 || 581.818 ||
| |
| || 49 || 593.939 ||
| |
| || 50 || 606.061 ||
| |
| || 51 || 618.182 ||
| |
| || 52 || 630.303 ||
| |
| || 53 || 642.424 ||
| |
| || 54 || 654.545 ||
| |
| || 55 || 666.667 ||
| |
| || 56 || 678.788 ||
| |
| || 57 || 690.909 ||
| |
| || 58 || 703.03 ||
| |
| || 59 || 715.152 ||
| |
| || 60 || 727.273 ||
| |
| || 61 || 739.394 ||
| |
| || 62 || 751.515 ||
| |
| || 63 || 763.636 ||
| |
| || 64 || 775.758 ||
| |
| || 65 || 787.879 ||
| |
| || 66 || 800 ||
| |
| || 67 || 812.121 ||
| |
| || 68 || 824.242 ||
| |
| || 69 || 836.364 ||
| |
| || 70 || 848.485 ||
| |
| || 71 || 860.606 ||
| |
| || 72 || 872.727 ||
| |
| || 73 || 884.848 ||
| |
| || 74 || 896.97 ||
| |
| || 75 || 909.091 ||
| |
| || 76 || 921.212 ||
| |
| || 77 || 933.333 ||
| |
| || 78 || 945.455 ||
| |
| || 79 || 957.576 ||
| |
| || 80 || 969.697 ||
| |
| || 81 || 981.818 ||
| |
| || 82 || 993.939 ||
| |
| || 83 || 1006.061 ||
| |
| || 84 || 1018.182 ||
| |
| || 85 || 1030.303 ||
| |
| || 86 || 1042.424 ||
| |
| || 87 || 1054.545 ||
| |
| || 88 || 1066.667 ||
| |
| || 89 || 1078.788 ||
| |
| || 90 || 1090.909 ||
| |
| || 91 || 1103.03 ||
| |
| || 92 || 1115.152 ||
| |
| || 93 || 1127.273 ||
| |
| || 94 || 1139.394 ||
| |
| || 95 || 1151.515 ||
| |
| || 96 || 1163.636 ||
| |
| || 97 || 1175.758 ||
| |
| || 98 || 1187.879 ||
| |
| || 99 || 1200 ||</pre></div>
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| <h4>Original HTML content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>99edo</title></head><body>The <em>99 equal temperament</em>, often abbreviated 99-tET, 99-EDO, or 99-ET, is the scale derived by dividing the octave into 99 equally-sized steps, where each step represents a frequency ratio of 12.1212 cents. It is a very strong 7-limit (and 9 odd limit) temperament, but extending it to the 11-limit requires choosing which mapping one wants to use, as both are nearly equally far of the mark. It tempers out 3136/3125, 5120/5103, 6144/6125, 2401/2400 and 4375/4374, and supports hemififths, amity, parakleismic, hemiwürschmidt and ennealimmal temperaments, and is pretty well a perfect tuning for hendecatonic temperament. It has a sound defined by the slight sharpness (1.075, 1.565, 0.871 cents) of its 3, 5, and 7.<br />
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| <br />
| |
| Using the <a class="wiki_link" href="/patent%20val">patent val</a>, &lt;99 157 230 278 342|, 99 is the <a class="wiki_link" href="/optimal%20patent%20val">optimal patent val</a> for the rank four temperament tempering out 121/120; zeus, the rank three temperament tempering out 121/120 and 176/175; hemiwur, one of the rank two 11-limit extensions of hemiwürschmidt; and hitchcock (11-limit amity), the rank two temperament which also tempers out 2200/2187. Using the &lt;99 157 230 278 343| (&quot;99e&quot;) val, 99 tempers out 896/891, 243/242, 441/440 and 540/539, and is an excellent tuning for the 11-limit version of <a class="wiki_link" href="/Breedsmic%20temperaments">hemififths temperament</a>. Hence 99, in spite of the fact that it tunes 11 relatively badly, is an important 11-limit tuning in more than one way.<br />
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| <br />
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| <!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Scales"></a><!-- ws:end:WikiTextHeadingRule:0 -->Scales</h1>
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| <a class="wiki_link" href="/tutone6">tutone6</a><br />
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| <a class="wiki_link" href="/tutone7">tutone7</a><br />
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| <a class="wiki_link" href="/tutone13">tutone13</a><br />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="Music in 99edo"></a><!-- ws:end:WikiTextHeadingRule:2 -->Music in 99edo</h1>
| |
| <a class="wiki_link_ext" href="http://www.archive.org/details/NonagintaEtNovem" rel="nofollow">Nonaginta et Novem</a> <em><a class="wiki_link_ext" href="http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/Nonaginta%20et%20Novem.mp3" rel="nofollow">play</a></em> by <a class="wiki_link" href="/Gene%20Ward%20Smith">Gene Ward Smith</a><br />
| |
| <a class="wiki_link_ext" href="http://micro.soonlabel.com/gene_ward_smith/transformers/benny.mp3" rel="nofollow">Benny</a> Smith-Palestrina in <a class="wiki_link" href="/zeus7tri">zeus7tri</a><br />
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| <br />
| |
| <!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="Intervals"></a><!-- ws:end:WikiTextHeadingRule:4 -->Intervals</h1>
| |
| | | |
| | Mapping Ratio Error *) |
| | (* 4\99*) 36/35 (* -0.286c *) |
| | (* 5\99*) 28/27 (* -2.355c *) |
| | (* 6\99*) 25/24 (* +2.055c *) |
| | (* 7\99*) 21/20 (* +0.381c *) |
| | (* 9\99*) 16/15 (* -2.640c *) |
| | (*10\99*) 15/14 (* +1.769c *) |
| | (*11\99*) 27/25 (* +0.096c *) |
| | (*13\99*) 35/32 (* +2.436c *) |
| | (*15\99*) 10/9 (* -0.586c *) |
| | (*16\99*) 28/25 (* -2.259c *) |
| | (*17\99*) 9/8 (* +2.151c *) |
| | (*19\99*) 8/7 (* -0.871c *) |
| | (*22\99*) 7/6 (* -0.204c *) |
| | (*24\99*) 32/27 (* -3.226c *) |
| | (*25\99*) 25/21 (* +1.184c *) |
| | (*26\99*) 6/5 (* -0.490c *) |
| | (*31\99*) 56/45 (* -2.845c *) |
| | (*32\99*) 5/4 (* +1.565c *) |
| | (*35\99*) 32/25 (* -3.130c *) |
| | (*36\99*) 9/7 (* +1.280c *) |
| | (*37\99*) 35/27 (* -0.790c *) |
| | (*39\99*) 21/16 (* +1.946c *) |
| | (*41\99*) 4/3 (* -1.075c *) |
| | (*43\99*) 27/20 (* +1.661c *) |
| | (*45\99*) 48/35 (* -1.361c *) |
| | (*47\99*) 25/18 (* +0.980c *) |
| | (*48\99*) 7/5 (* -0.694c *) |
| | (*49\99*) 45/32 (* +3.716c *) |
| | (*50\99*) 64/45 |
| | (*51\99*) 10/7 |
| | (*52\99*) 36/25 |
| | (*54\99*) 35/24 |
| | (*56\99*) 40/27 |
| | (*58\99*) 3/2 |
| | (*60\99*) 32/21 |
| | (*62\99*) 54/35 |
| | (*63\99*) 14/9 |
| | (*64\99*) 25/16 |
| | (*67\99*) 8/5 |
| | (*68\99*) 45/28 |
| | (*73\99*) 5/3 |
| | (*74\99*) 42/25 |
| | (*75\99*) 27/16 |
| | (*77\99*) 12/7 |
| | (*80\99*) 7/4 |
| | (*82\99*) 16/9 |
| | (*83\99*) 25/14 |
| | (*84\99*) 9/5 |
| | (*86\99*) 64/35 |
| | (*88\99*) 50/27 |
| | (*89\99*) 28/15 |
| | (*90\99*) 15/8 |
| | (*92\99*) 40/21 |
| | (*93\99*) 48/25 |
| | (*94\99*) 27/14 |
| | (*95\99*) 35/18 |
| | (*99\99*) 2/1 |
| | </pre> |
| | }} |
| | |
| | The 7-prime-limited 49-odd-limit is where non-distinctness first shows up: namely, ~49/48 = ~50/49 (this is characteristic of all ennealimmal tunings). However, 99edo remains monotone and consistent up to the 7-prime-limited 567-odd-limit (the next 7-limit odd, 625, is inconsistent): |
| | |
| | {{Databox |
| | |collapse=true |
| | |title=The 7-prime-limited 567-odd-limit, by 99edo mapping (SW3 format) |
| | |text= |
| | <pre> |
| | (* 1*) 225/224; 126/125; 245/243; |
| | (* 2*) 81/80; 64/63; |
| | (* 3*) 50/49; 49/48; 128/125; |
| | (* 4*) 525/512; 36/35; 250/243; |
| | (* 5*) 405/392; 28/27; |
| | (* 6*) 25/24; 256/245; 392/375; |
| | (* 7*) 360/343; 21/20; 256/243; |
| | (* 8*) 135/128; 200/189; 343/324; |
| | (* 9*) 16/15; |
| | (*10*) 15/14; 343/320; |
| | (*11*) 27/25; 175/162; |
| | (*12*) 243/224; 160/147; 49/45; |
| | (*13*) 375/343; 35/32; 192/175; |
| | (*14*) 54/49; 441/400; 448/405; |
| | (*15*) 567/512; 10/9; |
| | (*16*) 125/112; 384/343; 28/25; |
| | (*17*) 9/8; 640/567; |
| | (*18*) 500/441; 567/500; 245/216; 256/225; |
| | (*19*) 8/7; 343/300; |
| | (*20*) 225/196; 147/128; 144/125; 280/243; |
| | (*21*) 81/70; 125/108; 512/441; |
| | (*22*) 400/343; 7/6; |
| | (*23*) 75/64; 288/245; 147/125; |
| | (*24*) 405/343; 189/160; 32/27; |
| | (*25*) 25/21; 343/288; 448/375; |
| | (*26*) 6/5; |
| | (*27*) 135/112; 98/81; |
| | (*28*) 243/200; 175/144; 128/105; |
| | (*29*) 60/49; 49/40; |
| | (*30*) 315/256; 216/175; 100/81; |
| | (*31*) 243/196; 56/45; |
| | (*32*) 5/4; |
| | (*33*) 432/343; 63/50; 512/405; |
| | (*34*) 81/64; 80/63; 343/270; |
| | (*35*) 125/98; 245/192; 32/25; |
| | (*36*) 9/7; |
| | (*37*) 162/125; 35/27; |
| | (*38*) 125/96; 64/49; 98/75; |
| | (*39*) 450/343; 21/16; 320/243; |
| | (*40*) 324/245; 250/189; |
| | (*41*) 4/3; |
| | (*42*) 75/56; 343/256; 168/125; |
| | (*43*) 27/20; 256/189; |
| | (*44*) 200/147; 49/36; 512/375; |
| | (*45*) 175/128; 48/35; 343/250; |
| | (*46*) 135/98; 441/320; 112/81; |
| | (*47*) 243/175; 25/18; |
| | (*48*) 480/343; 7/5; |
| | (*49*) 45/32; 800/567; 343/243; |
| | (*50*) 486/343; 567/400; 64/45; |
| | (*51*) 10/7; 343/240; |
| | (*52*) 36/25; 350/243; |
| | (*53*) 81/56; 640/441; 196/135; |
| | (*54*) 500/343; 35/24; 256/175; |
| | (*55*) 375/256; 72/49; 147/100; |
| | (*56*) 189/128; 40/27; |
| | (*57*) 125/84; 512/343; 112/75; |
| | (*58*) 3/2; |
| | (*59*) 189/125; 245/162; |
| | (*60*) 243/160; 32/21; 343/225; |
| | (*61*) 75/49; 49/32; 192/125; |
| | (*62*) 54/35; 125/81; |
| | (*63*) 14/9; |
| | (*64*) 25/16; 384/245; 196/125; |
| | (*65*) 540/343; 63/40; 128/81; |
| | (*66*) 405/256; 100/63; 343/216; |
| | (*67*) 8/5; |
| | (*68*) 45/28; 392/243; |
| | (*69*) 81/50; 175/108; 512/315; |
| | (*70*) 80/49; 49/30; |
| | (*71*) 105/64; 288/175; 400/243; |
| | (*72*) 81/49; 224/135; |
| | (*73*) 5/3; |
| | (*74*) 375/224; 576/343; 42/25; |
| | (*75*) 27/16; 320/189; 686/405; |
| | (*76*) 250/147; 245/144; 128/75; |
| | (*77*) 12/7; 343/200; |
| | (*78*) 441/256; 216/125; 140/81 |
| | (*79*) 243/140; 125/72; 256/147; 392/225; |
| | (*80*) 600/343; 7/4; |
| | (*81*) 225/128; 432/245; 1000/567; 441/250; |
| | (*82*) 567/320; 16/9; |
| | (*83*) 25/14; 343/192; 224/125; |
| | (*84*) 9/5; 1024/567; |
| | (*85*) 405/224; 800/441; 49/27; |
| | (*86*) 175/96; 64/35; 686/375; |
| | (*87*) 90/49; 147/80; 448/243; |
| | (*88*) 324/175; 50/27; |
| | (*89*) 640/343; 28/15; |
| | (*90*) 15/8; |
| | (*91*) 648/343; 189/100; 256/135; |
| | (*92*) 243/128; 40/21; 343/180; |
| | (*93*) 375/196; 245/128; 48/25; |
| | (*94*) 27/14; 784/405; |
| | (*95*) 243/125; 35/18; 1024/525; |
| | (*96*) 125/64; 96/49; 49/25; |
| | (*97*) 63/32; 160/81; |
| | (*98*) 486/245; 125/63; 448/225; |
| | (*99*) 2/1; |
| | </pre> |
| | }} |
| | |
| | === Intervals made equidistant by 99edo === |
| | Runs of 7-prime-limited 45-odd-limit intervals separated by 1\99: |
| | # 36/35 ↔<sub>a</sub> 28/27 ↔<sub>b</sub> 25/24 ↔<sub>c</sub> 21/20 |
| | # 16/15 ↔<sub>b</sub> 15/14 ↔<sub>c</sub> 27/25 |
| | # 10/9 ↔<sub>c</sub> 28/25 ↔<sub>b</sub> 9/8 |
| | # 32/27 ↔<sub>b</sub> 25/21 ↔<sub>c</sub> 6/5 |
| | # 32/25 ↔<sub>b</sub> 9/7 ↔<sub>a</sub> 35/27 |
| | # 25/18 ↔<sub>c</sub> 7/5 ↔<sub>b</sub> 45/32 ↔<sub>d</sub> 64/45 ↔<sub>b</sub> 10/7 ↔<sub>c</sub> 36/25 |
| | |
| | The separating intervals (all equated): |
| | # ↔<sub>a</sub> = 245/243, the [[sensamagic]] comma |
| | # ↔<sub>b</sub> = 225/224, the [[marvel]] comma |
| | # ↔<sub>c</sub> = 126/125 |
| | # ↔<sub>d</sub> = 2048/2025, the [[Diaschismic|diaschisma]] |
| | |
| | Runs of intervals separated by 2\99: |
| | # 28/27 ↔<sub>e</sub> 21/20 ↔<sub>f</sub> 16/15 ↔<sub>e</sub> 27/25 ↔<sub>g</sub> 35/32 ↔<sub>f</sub> 10/9 ↔<sub>e</sub> 9/8 ↔<sub>f</sub> 8/7 |
| | # 7/6 ↔<sub>f</sub> 32/27 ↔<sub>e</sub> 6/5 |
| | # 32/25 ↔<sub>g</sub> 35/27 ↔<sub>e</sub> 21/16 ↔<sub>f</sub> 4/3 ↔<sub>e</sub> 27/20 ↔<sub>f</sub> 48/35 ↔<sub>g</sub> 25/18 ↔<sub>e</sub> 45/32 ↔<sub>f</sub> 10/7 |
| | |
| | The separating intervals (all equated): |
| | # ↔<sub>e</sub> = 81/80 |
| | # ↔<sub>f</sub> = 64/63 |
| | # ↔<sub>g</sub> = 875/864, the keema |
| | |
| | === Interval mappings === |
| | {{Q-odd-limit intervals|99}} |
| | {{Q-odd-limit intervals|99.1|apx=val|header=none|tag=none|title=15-odd-limit intervals by 99ef val mapping}} |
| | |
| | == Regular temperament properties == |
| | {| class="wikitable center-4 center-5 center-6" |
| | |- |
| | ! rowspan="2" | [[Subgroup]] |
| | ! rowspan="2" | [[Comma list]] |
| | ! rowspan="2" | [[Mapping]] |
| | ! rowspan="2" | Optimal<br>8ve stretch (¢) |
| | ! colspan="2" | Tuning error |
| | |- |
| | ! [[TE error|Absolute]] (¢) |
| | ! [[TE simple badness|Relative]] (%) |
| | |- |
| | | 2.3 |
| | | {{Monzo| 157 -99 }} |
| | | {{Mapping| 99 157 }} |
| | | −0.339 |
| | | 0.339 |
| | | 2.80 |
| | |- |
| | | 2.3.5 |
| | | 393216/390625, 1600000/1594323 |
| | | {{Mapping| 99 157 230 }} |
| | | −0.451 |
| | | 0.319 |
| | | 2.63 |
| | |- |
| | | 2.3.5.7 |
| | | 2401/2400, 3136/3125, 4375/4374 |
| | | {{Mapping| 99 157 230 278 }} |
| | | −0.416 |
| | | 0.283 |
| | | 2.33 |
| | |- style="border-top: double;" |
| | | 2.3.5.7.11 |
| | | 243/242, 441/440, 896/891, 3136/3125 |
| | | {{Mapping| 99 157 230 278 343 }} (99e) |
| | | −0.694 |
| | | 0.612 |
| | | 5.05 |
| | |- style="border-top: double;" |
| | | 2.3.5.7.11 |
| | | 121/120, 176/175, 1375/1372, 2200/2187 |
| | | {{Mapping| 99 157 230 278 342 }} (99) |
| | | +0.006 |
| | | 0.881 |
| | | 7.27 |
| | |} |
| | * 99et is lower in relative error than any previous equal temperaments in the 7-limit. Not until [[171edo|171]] do we find a better equal temperament in terms of either absolute error or relative error. |
| | |
| | === Rank-2 temperaments === |
| | {| class="wikitable center-all left-5" |
| | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator |
| | |- |
| | ! Periods<br>per 8ve |
| | ! Generator* |
| | ! Cents* |
| | ! Associated<br>ratio* |
| | ! Temperament |
| | |- |
| | | 1 |
| | | 2\99 |
| | | 24.242 |
| | | 686/675, 99/98 |
| | | [[Sengagen]] (99e) / sengage (99ef) |
| | |- |
| | | 1 |
| | | 7\99 |
| | | 84.848 |
| | | 21/20 |
| | | [[Amicable]] |
| | |- |
| | | 1 |
| | | 16\99 |
| | | 193.939 |
| | | 28/25 |
| | | [[Hemiwürschmidt]] (99e) / hemithir (99ef) / hemiwur (99f) |
| | |- |
| | | 1 |
| | | 19\99 |
| | | 230.303 |
| | | 8/7 |
| | | [[Gamera]] |
| | |- |
| | | 1 |
| | | 20\99 |
| | | 242.424 |
| | | 147/128 |
| | | [[Septiquarter]] |
| | |- |
| | | 1 |
| | | 25\99 |
| | | 303.030 |
| | | 25/21 |
| | | [[Quinmite]] |
| | |- |
| | | 1 |
| | | 26\99 |
| | | 315.152 |
| | | 6/5 |
| | | [[Parakleismic]] (99) / paralytic (99e) / parkleismic (99) / paradigmic (99e) |
| | |- |
| | | 1 |
| | | 28\99 |
| | | 339.394 |
| | | 128/105 |
| | | [[Amity]] (99ef) / stalagmite (99ef) / hitchcock (99) |
| | |- |
| | | 1 |
| | | 29\99 |
| | | 351.515 |
| | | 49/40 |
| | | [[Hemififths]] (99ef) |
| | |- |
| | | 1 |
| | | 32\99 |
| | | 387.879 |
| | | 5/4 |
| | | [[Würschmidt]] / whirrschmidt |
| | |- |
| | | 1 |
| | | 41\99 |
| | | 496.970 |
| | | 4/3 |
| | | [[Undecental]] |
| | |- |
| | | 1 |
| | | 37\99 |
| | | 448.485 |
| | | 35/27 |
| | | [[Semidimfourth]] |
| | |- |
| | | 3 |
| | | 5\99 |
| | | 60.606 |
| | | 28/27 |
| | | [[Chromat]] |
| | |- |
| | | 3 |
| | | 13\99 |
| | | 157.576 |
| | | 35/32 |
| | | [[Nessafof]] |
| | |- |
| | | 3 |
| | | 41\99<br>(8\99) |
| | | 496.970<br>(96.970) |
| | | 4/3<br>(18/17~19/18) |
| | | [[Misty]] |
| | |- |
| | | 9 |
| | | 4\99 |
| | | 48.485 |
| | | 36/35 |
| | | [[Ennealimmal]] / enneabiotic (99ef) / ennealympic (99) / <br>ennealimnic (99ef) / ennealim (99e) / ennealiminal (99) |
| | |- |
| | | 11 |
| | | 41\99<br>(4\99) |
| | | 496.970<br>(48.485) |
| | | 4/3<br>(36/35) |
| | | [[Hendecatonic (temperament)|Hendecatonic]] |
| | |} |
| | <nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct |
| | |
| | == Octave stretch or compression == |
| | 99edo's approximations of harmonics 3, 5, and 7 can all be improved if slightly [[stretched and compressed tuning|compressing the octave]] is acceptable, using tunings such as [[157edt]] or [[256ed6]]. 157edt is especially performant if the 13-limit of the 99ef val is intended, but the 7-limit part is overcompressed, for which the milder 256ed6 is a better choice. |
| | |
| | If the 13-limit patent val is intended, then little to no compression, or even stretch, might be serviceable, such as in [[zpi|567zpi]]. |
| | |
| | == Scales == |
| | {{Main| List of MOS scales in 99edo }} |
| | |
| | * Baobab{{idio}}: 26 15 17 15 14 12 (approximated from [[30afdo]]) |
| | * [[Tutone6]] |
| | * [[Tutone7]] |
| | * [[Tutone13]] |
| | * [[Zeus7tri]] |
| | * [[Zeus8tri]] |
| | |
| | == Instruments == |
| | === Skip fretting === |
| | '''Skip fretting system 99 6 11''' is a [[skip fretting]] system for 99edo. The frets correspond to 16.5edo ([[33ed4]]). All intervals are for 7-string [[guitar]]. |
| | |
| | ; Harmonics |
| | |
| | 1/1: string 2 open |
| | |
| | 2/1: string 5 fret 11 |
| | |
| | 3/2: string 4 fret 6 |
| | |
| | 5/4 is not easily accessible, but the next-best approximation is at string 5 open. |
| | |
| | 7/4: string 6 fret 6 |
| | |
| | 11/8: string 5 fret 2 |
| | |
| | 13/8: string 5 fret 6 |
| | |
| | === Keyboards === |
| | [[Lumatone mapping for 99edo|Lumatone mappings for 99edo]] are now available. |
| | |
| | == Music == |
| | ; [[Bryan Deister]] |
| | * [https://www.youtube.com/watch?v=bYK8V07yyq4 ''microtonal improvisation in 99edo''] (2023) |
| | * [https://www.youtube.com/shorts/p9OUaFuTUek ''99edo waltz''] (2025) |
| | * [https://www.youtube.com/shorts/GNio1PMp9BA ''99edo improv''] (2026) |
| | |
| | ; [[Mundoworld]] |
| | * [https://www.youtube.com/watch?v=zo1IYJW43II ''Cloudtop Reverie''] (2021) – zeus[7] in 99edo tuning |
| | |
| | ; [[Gene Ward Smith]] |
| | * ''Nonaginta et Novem'' (archived 2010) [https://soundcloud.com/genewardsmith/nonaginta-et-novem SoundCloud] | [http://www.archive.org/details/NonagintaEtNovem details] | [http://clones.soonlabel.com/public/micro/gene_ward_smith/mine/Nonaginta%20et%20Novem.mp3 play] |
| | * [http://micro.soonlabel.com/gene_ward_smith/transformers/benny.mp3 ''Benny''] Smith-Palestrina in [[zeus7tri]] |
|
| |
|
| <table class="wiki_table">
| | == See also == |
| <tr>
| | * [[58edf]] – relative [[edf]] |
| <th>Degrees<br />
| | * [[157edt]] – relative [[edt]] |
| </th>
| | * [[87edo]], [[94edo]], [[111edo]] – similarly sized edos all with consistency in higher harmonics. |
| <th>Cents Value<br />
| | * [[198edo]], the half-sized edo to reconcile the mappings of 11 and 13. |
| </th>
| | * [[105edo]], a similarly sized edo that supports meantone, septimal meantone, undecimal meantone, and grosstone |
| </tr>
| |
| <tr>
| |
| <td>1<br />
| |
| </td>
| |
| <td>12.121<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2<br />
| |
| </td>
| |
| <td>24.242<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3<br />
| |
| </td>
| |
| <td>36.364<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4<br />
| |
| </td>
| |
| <td>48.485<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5<br />
| |
| </td>
| |
| <td>60.606<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6<br />
| |
| </td>
| |
| <td>72.727<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7<br />
| |
| </td>
| |
| <td>84.848<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8<br />
| |
| </td>
| |
| <td>96.97<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9<br />
| |
| </td>
| |
| <td>109.091<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10<br />
| |
| </td>
| |
| <td>121.212<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11<br />
| |
| </td>
| |
| <td>133.333<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12<br />
| |
| </td>
| |
| <td>145.455<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13<br />
| |
| </td>
| |
| <td>157.576<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14<br />
| |
| </td>
| |
| <td>169.697<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>15<br />
| |
| </td>
| |
| <td>181.818<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>16<br />
| |
| </td>
| |
| <td>193.939<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>17<br />
| |
| </td>
| |
| <td>206.061<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>18<br />
| |
| </td>
| |
| <td>218.182<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>19<br />
| |
| </td>
| |
| <td>230.303<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>20<br />
| |
| </td>
| |
| <td>242.424<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>21<br />
| |
| </td>
| |
| <td>254.545<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>22<br />
| |
| </td>
| |
| <td>266.667<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>23<br />
| |
| </td>
| |
| <td>278.788<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>24<br />
| |
| </td>
| |
| <td>290.909<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>25<br />
| |
| </td>
| |
| <td>303.03<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>26<br />
| |
| </td>
| |
| <td>315.152<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>27<br />
| |
| </td>
| |
| <td>327.273<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>28<br />
| |
| </td>
| |
| <td>339.394<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>29<br />
| |
| </td>
| |
| <td>351.515<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>30<br />
| |
| </td>
| |
| <td>363.636<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>31<br />
| |
| </td>
| |
| <td>375.758<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>32<br />
| |
| </td>
| |
| <td>387.879<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>33<br />
| |
| </td>
| |
| <td>400<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>34<br />
| |
| </td>
| |
| <td>412.121<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>35<br />
| |
| </td>
| |
| <td>424.242<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>36<br />
| |
| </td>
| |
| <td>436.364<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>37<br />
| |
| </td>
| |
| <td>448.485<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>38<br />
| |
| </td>
| |
| <td>460.606<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>39<br />
| |
| </td>
| |
| <td>472.727<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>40<br />
| |
| </td>
| |
| <td>484.848<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>41<br />
| |
| </td>
| |
| <td>496.97<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>42<br />
| |
| </td>
| |
| <td>509.091<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>43<br />
| |
| </td>
| |
| <td>521.212<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>44<br />
| |
| </td>
| |
| <td>533.333<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>45<br />
| |
| </td>
| |
| <td>545.455<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>46<br />
| |
| </td>
| |
| <td>557.576<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>47<br />
| |
| </td>
| |
| <td>569.697<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>48<br />
| |
| </td>
| |
| <td>581.818<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>49<br />
| |
| </td>
| |
| <td>593.939<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>50<br />
| |
| </td>
| |
| <td>606.061<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>51<br />
| |
| </td>
| |
| <td>618.182<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>52<br />
| |
| </td>
| |
| <td>630.303<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>53<br />
| |
| </td>
| |
| <td>642.424<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>54<br />
| |
| </td>
| |
| <td>654.545<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>55<br />
| |
| </td>
| |
| <td>666.667<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>56<br />
| |
| </td>
| |
| <td>678.788<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>57<br />
| |
| </td>
| |
| <td>690.909<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>58<br />
| |
| </td>
| |
| <td>703.03<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>59<br />
| |
| </td>
| |
| <td>715.152<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>60<br />
| |
| </td>
| |
| <td>727.273<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>61<br />
| |
| </td>
| |
| <td>739.394<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>62<br />
| |
| </td>
| |
| <td>751.515<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>63<br />
| |
| </td>
| |
| <td>763.636<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>64<br />
| |
| </td>
| |
| <td>775.758<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>65<br />
| |
| </td>
| |
| <td>787.879<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>66<br />
| |
| </td>
| |
| <td>800<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>67<br />
| |
| </td>
| |
| <td>812.121<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>68<br />
| |
| </td>
| |
| <td>824.242<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>69<br />
| |
| </td>
| |
| <td>836.364<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>70<br />
| |
| </td>
| |
| <td>848.485<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>71<br />
| |
| </td>
| |
| <td>860.606<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>72<br />
| |
| </td>
| |
| <td>872.727<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>73<br />
| |
| </td>
| |
| <td>884.848<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>74<br />
| |
| </td>
| |
| <td>896.97<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>75<br />
| |
| </td>
| |
| <td>909.091<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>76<br />
| |
| </td>
| |
| <td>921.212<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>77<br />
| |
| </td>
| |
| <td>933.333<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>78<br />
| |
| </td>
| |
| <td>945.455<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>79<br />
| |
| </td>
| |
| <td>957.576<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>80<br />
| |
| </td>
| |
| <td>969.697<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>81<br />
| |
| </td>
| |
| <td>981.818<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>82<br />
| |
| </td>
| |
| <td>993.939<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>83<br />
| |
| </td>
| |
| <td>1006.061<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>84<br />
| |
| </td>
| |
| <td>1018.182<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>85<br />
| |
| </td>
| |
| <td>1030.303<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>86<br />
| |
| </td>
| |
| <td>1042.424<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>87<br />
| |
| </td>
| |
| <td>1054.545<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>88<br />
| |
| </td>
| |
| <td>1066.667<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>89<br />
| |
| </td>
| |
| <td>1078.788<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>90<br />
| |
| </td>
| |
| <td>1090.909<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>91<br />
| |
| </td>
| |
| <td>1103.03<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>92<br />
| |
| </td>
| |
| <td>1115.152<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>93<br />
| |
| </td>
| |
| <td>1127.273<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>94<br />
| |
| </td>
| |
| <td>1139.394<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>95<br />
| |
| </td>
| |
| <td>1151.515<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>96<br />
| |
| </td>
| |
| <td>1163.636<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>97<br />
| |
| </td>
| |
| <td>1175.758<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>98<br />
| |
| </td>
| |
| <td>1187.879<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>99<br />
| |
| </td>
| |
| <td>1200<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | [[Category:Aberschismic]] |
| | [[Category:Hemififths]] |
| | [[Category:Hendecatonic]] |
| | [[Category:Hitchcock]] |
| | [[Category:Listen]] |
| | [[Category:Zeus]] |